Finding the Fourth Proportional to 1,105.17, 1,656.38 and 557.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.17 : 1,656.38 = 557.05 : x
2. Step 2: Convert to fraction form
   1,105.17/1,656.38 = 557.05/x
3. Step 3: Cross multiply
   1,105.17x = 1,656.38 × 557.05
4. Step 4: Simplify right side
   1,105.17x = 922,686.48
5. Step 5: Solve for x
   x = 922,686.48/1,105.17
6. Step 6: Final answer
   x = 834.88